ISC Class 12 Mathematics Syllabus: Download PDF, Check Section-wise syllabus, Marking Scheme & weightage

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Sahaj Anand

Content Writer | Journalism Graduate | Updated on - Sep 18, 2025

The ISC Class 12 Mathematics syllabus for the year 2025-2026 has been officially released by CISCE on the official website cisceboard.org and is similar to the previous year.

The ISC Class 12 Mathematics syllabus includes Relations & Functions, Algebra, Calculus, Probability, Vectors, 3-D Geometry and Application of Integrals.

  • In the ISC Class 12 Mathematics Syllabus, Section A will be of 65 marks and is a compulsory section & will cover Relations & Functions of 6-8 marks, Algebra-Matrices & Determinants of 10-12 marks and Calculus of 35 to 40 marks.
  • In the ISC Class 12 Mathematics Syllabus, Section B will be of 15 marks and is optional, with around 5-6 questions, including Vectors, 3-D Geometry and Application of Integrals, each of around 5 marks.
  • In the ISC Class 12 Mathematics Syllabus, Section C will be of 15 Marks and is an alternative to Section B, with 5-6 questions, which focus on real-life applications.

As per the Exam Pattern, the ISC Class 12 Mathematics syllabus includes a theory paper of 80 marks, of 3 hours, around 26 to 30 questions and project work of 20 marks, which makes a total of 100 marks.

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ISC Class 12 Maths Syllabus

Key Summary:

In this Article, we have discussed about ISC Class 12 Mathematics Syllabus, including PDF, Section-wise syllabus, Marking Scheme & weightage.

  • The ISC Class 12 Mathematics syllabus for 2025-2026 has been released by CISCE on the official website, cisceboard.org.
  • The ISC Class 12 Maths Syllabus is divided into 3 sections: Section A of 65 Marks and 2 optional sections, Section B & Section C of 15 marks, from which you have to attempt 1.
  • The ISC Class 12 Mathematics syllabus includes a theory paper of 80 marks, of 3 hours, with around 26 to 30 questions.

What is the ISC Class 12 Maths Syllabus?

CISCE releases the ISC Class 12 Mathematics syllabus to test the conceptual clarity, problem-solving and application skills.

  • The ISC Class 12 Maths Syllabus is divided into 3 sections: Section A (Compulsory – 65 marks), Section B (Optional – 15 marks), and Section C (Optional – 15 marks).
  • The Candidates have to attempt section A and choose between section B and section C.
  • Along with the 80-mark theory exam, 20 marks of project work will also be included, making a total of 100 marks.
ISC Class 12 Maths Syllabus

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ISC Class 12 Mathematics Syllabus: Section-wise

The ISC Class 12 Mathematics syllabus is divided into 3 sections, 2 for the theory paper for 80 Marks and project work for 20 marks.

In which section A is compulsory, and candidates can choose 1 between Section B and Section C.

ISC Class 12 Mathematics Syllabus: Section A – Compulsory (65 Marks)

In ISC Class 12 Mathematics, Section A is the most important and carries the highest weightage of 65%. The Calculus includes the majority of the weightage of around 40-45%, and is the most scoring topic.

Unit Topics Covered Approx. Marks
Relations & Functions
  • Types of relations (reflexive, symmetric, transitive, equivalence)
  • one-to-one & onto functions
  • composite & inverse functions
  • Inverse trigonometric functions.
6–8
Algebra
  • Matrices (types, operations, inverse, adjoint)
  • Determinants (properties, solving linear equations using determinants).
10–12
Calculus
  • Continuity & Differentiability
  • Derivatives (parametric, logarithmic, implicit)
  • Applications of Derivatives
  • Indefinite & Definite Integrals
  • Applications of Integrals
  • Differential Equations.
35–40
Probability
  • Conditional probability, Bayes’ Theorem
  • Random Variables
  • Mean & Variance
  • Binomial Distribution.
8–10

ISC Class 12 Mathematics Syllabus: Section B – Optional (15 Marks)

The ISC Class 12 Mathematics Section B focuses on geometry and applications for candidates comfortable with visualisation and problem solving. All 3 units have equal weightage, which makes it balanced.

Unit Topics Covered Approx. Marks
Vectors
  • Vector algebra
  • Scalar & vector products
  • scalar triple product
  • Direction cosines and ratios
5
Three-Dimensional Geometry
  • Equations of lines and planes
  • Angles between planes/lines
  • Distance between skew lines
5
Applications of Integrals
  • Areas under curves
  • Area bounded by curves and coordinate axes
5

ISC Class 12 Mathematics Syllabus: Section C – Optional (15 Marks)

The ISC Class 12 Mathematics Syllabus, Section C is for students who focus on practical and real-life applications of mathematics in commerce, economics and Statistics.

This Section is for candidates who are looking to study business, economics and data-related fields after class 12.

Unit Topics Covered Approx. Marks
Application of Calculus (Economics/Commerce)
  • Marginal cost
  • Revenue
  • Profit
  • Maxima & minima in economic functions
  • Break-even analysis.
6
Linear Regression
  • Lines of regression (x on y, y on x)
  • Regression coefficients
  • Method of least squares
  • Prediction.
5
Linear Programming
  • Formulation of problems
  • Graphical solutions in two variables
  • Feasible regions
  • Optimization
4

ISC Class 12 Mathematics Syllabus: Project Work – (20 Marks)

Component Details Marks
Project Reports Two projects: one from Section A + one from Section B/C. 15
Viva & Presentation Oral discussion, presentation, and clarity of concepts. 5

ISC Class 12 Mathematics Syllabus: Weightage

The ISC Class 12 Mathematics Exam is of 100 marks and includes 3 sections. The Marks distribution in ISC Class 12 Mathematics will test candidates' knowledge of mathematical concepts and problem-solving skills.

Section Units Weightage (Marks)
A (Compulsory – 65) Relations & Functions 8–10
Algebra 10–12
Calculus 25–28
Probability 12–15
B (Optional – 15) Vectors 6–8
3D Geometry 4–5
Applications of Integrals 2–4
C (Optional – 15) Application of Calculus (Commerce/Eco) 6–8
Linear Regression 4–5
Linear Programming 2–4
Total Theory + Project Work 100

ISC Class 12 Mathematics Syllabus: Important Topics

The ISC Class 12 Mathematics syllabus will cover different types of concepts, but a few topics are asked more in the exam and are high-scoring topics.

The Important topics are calculus, Algebra and Probability, which together weigh around 60% marks in the exam.

Important Topics in ISC Class 12 Mathematics Syllabus

Unit Important Topics
Relations & Functions Types of relations, domain & range of functions, inverse functions
Algebra Matrices (addition, multiplication, inverse), determinants, and solving linear equations
Calculus Continuity, differentiability, applications of derivatives (tangents, normals, maxima & minima), integration (indefinite & definite), applications of integrals (areas), differential equations
Probability Conditional probability, Bayes’ theorem, probability distributions (Binomial, Poisson, Normal)
Vectors & 3D Geometry Scalar & vector products, direction cosines/ratios, equations of line & plane, angle between two lines/planes
Applications in Commerce & Economics Cost, revenue, profit, elasticity of demand
Linear Regression & Linear Programming Regression lines, the least squares method, graphical method of solving LPP

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ISC Class 12 Mathematics: Important Books

The ISC Class 12 Candidates should choose the right books, as it is important for clarity of concepts, exam preparation and practising application-based problems.

The CISCE textbooks are basic for preparation, along with the reference books for proper explanation, solved examples and previous year questions.

Book Title Author/Publisher Why It’s Important
Understanding ISC Mathematics – Class 12 M.L. Aggarwal Officially recommended; covers the entire CISCE syllabus with solved examples and exercises.
ISC Mathematics Class 12 O.P. Malhotra, S.K. Gupta, Anubhuti Gangal Standard text for conceptual clarity and board exam-level problems.
ISC Mathematics Class 12 (ML Aggarwal – APC Publications) M.L. Aggarwal Highly popular among ISC students for step-by-step solutions and practice questions.
ISC Question Bank Mathematics Class 12 Oswaal Books Includes chapter-wise past-year questions, sample papers, and exam-focused practice.
ISC Mathematics Previous Year Papers CISCE / Various Publishers Essential for exam practice, time management, and understanding question patterns.

ISC Class 12 Mathematics: Preparation Tips

The ISC Class 12 Mathematics includes a balance of concepts, regular practice and time management. The Candidates should give priority to calculus, Algebra and Probability as they contribute 60% weightage in the exam.

  • Focus on High-weightage topics like calculus (30-35 Marks), Algebra + Probability(22-25 Marks).
  • Regularly solve 20-25 mixed questions, in different topics, to increase accuracy and not make the same mistake in the exam.
  • Practice the last 10 years of ISC Previous year question paper to enhance the skills of solving questions during the exam.
  • The Optional section should be chosen strategically, as Section B is better for candidates in geometry and Section C for those comfortable in economics & statistics.
  • In the first 2 weeks, focus on Calculus & Algebra, and in the 3rd Week focus on Probability & Optional Topics and in the final week, on the mock tests.

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FAQs for ISC Class 12 Mathematics Syllabus

FAQs

Ques. How Many Chapters are in 12th Mathematics?

Ans. The ISC Class 12 Mathematics Syllabus includes 14 chapters in 3 sections. Section A is compulsory; candidates have to choose between sections B and C.

Section Chapters
A (Compulsory) Relations & Functions, Algebra (Matrices, Determinants), Calculus, Probability
B (Optional) Vectors, Three-Dimensional Geometry, Applications of Integrals
C (Optional) Applications of Calculus (Commerce/Economics), Linear Regression, Linear Programming

Ques. How to Score 90 in Maths Class 12 ISC?

Ans. To score 90+ marks, candidates should have focused preparation and a smart strategy.

  • Prioritise Calculus (30–35 marks) as it carries the highest weightage.
  • Solve 20–25 problems daily from mixed topics to build speed & accuracy.
  • Attempt the last 10 years’ question papers in exam-based conditions.
  • Choose the optional section wisely (B or C) based on strength.
  • Revise formulas, theorems, and important shortcut methods regularly.

Ques. What is the portion of Maths in ISC Class 12?

Ans. The ISC Class 12 Maths Syllabus is divided into 3 sections.

Section Coverage
A (65 Marks – Compulsory) Relations & Functions, Algebra, Calculus, Probability
B (15 Marks – Optional) Vectors, 3D Geometry, Applications of Integrals
C (15 Marks – Optional) Applications of Calculus in Commerce/Economics, Linear Regression, Linear Programming
Total Theory (80) + Project Work/IA (20) = 100 Marks

Ques. Which is the Easiest Chapter in the ISC Class 12 Maths?

Ans. The Easy Chapter in ISC Class 12 Maths depends upon the candidates; some chapters are scoring and have easy questions.

  • Matrices and Determinants – Direct formula-based questions.
  • Vectors – Clear applications with standard methods.
  • Probability (basic problems) – Often repetitive in exams.

Ques. What is the Toughest Chapter of the ISC Class 12 Maths?

Ans. In ISC Class 12 Maths, a few chapters are challenging as they include lengthy concepts and problem-solving skills.

  • Calculus – Especially applications of derivatives & integrals.
  • Probability (Bayes’ theorem, distributions).
  • Three-Dimensional Geometry – Requires strong visualisation skills.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

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